Jan Swart
UTIA Prague
Title: The contact process seen from a typical infected site.
In this talk, we will consider contact processes on general Cayley graphs. It is shown that any such contact process has a well-defined exponential growth rate, which can be related to the configuration seen from a `typical' infected site at a `typical' late time. Using this quantity, it is proved that on any nonamenable Cayley graph, the critical contact process dies out.
©2008, Department of Mathematical Sciences
Last Modified: October 21, 2008